The Brauer group of tori

2024/10/27 by Julian Lawrence Demeio, Demeio, Julian · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2410.20616

openalex publication_date 2024/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the map Br T → (Br T _k)^Γ_k is surjective for a torus T defined over a field k of characteristic 0 when k is a local or global field or T is quasi-trivial.

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